Overview
- Editors:
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Marcus Sautoy
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Centre for Mathematical Sciences, DPMMS, Cambridge, UK
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Dan Segal
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All Souls College, Oxford, UK
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Aner Shalev
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Institute of Mathematics, Hebrew University, Jerusalem, Israel
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Table of contents (12 chapters)
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Front Matter
Pages i-xiii
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- C. R. Leedham-Green, S. McKay
Pages 55-74
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- Luis Ribes, Pavel Zalesskii
Pages 75-119
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- Marcus du Sautoy, Dan Segal
Pages 249-286
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- Marcus du Sautoy, Ivan Fesenko
Pages 287-328
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- Peter Symonds, Thomas Weigel
Pages 349-410
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Back Matter
Pages 411-426
About this book
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Editors and Affiliations
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Centre for Mathematical Sciences, DPMMS, Cambridge, UK
Marcus Sautoy
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All Souls College, Oxford, UK
Dan Segal
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Institute of Mathematics, Hebrew University, Jerusalem, Israel
Aner Shalev
